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Finding the Fourth Proportional to 742.79, 1,114.07 and 280.51

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Solution

The fourth proportional to 742.79, 1,114.07 and 280.51 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.79 : 1,114.07 = 280.51 : x
  2. Step 2: Convert to fraction form
    742.79/1,114.07 = 280.51/x
  3. Step 3: Cross multiply
    742.79x = 1,114.07 × 280.51
  4. Step 4: Simplify right side
    742.79x = 312,507.78
  5. Step 5: Solve for x
    x = 312,507.78/742.79
  6. Step 6: Final answer
    x = 420.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.